Abstract
This paper founds calculus on a natural isometric linear isomorphism. Once this Foundational Isomorphism is proved (with elementary Banach space methods) several familiar calculus properties of continuous curves drop out as quick corollaries. Then the calculus can be further developed in very general setting via categorical methods.
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Nel, L.D. Differential calculus founded on an isomorphism. Appl Categor Struct 1, 51–57 (1993). https://doi.org/10.1007/BF00872985
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DOI: https://doi.org/10.1007/BF00872985